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Phys. Rev. Lett. 95, 260605 (2005) [4 pages]

Consistent Lattice Boltzmann Method

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Santosh Ansumali*
School of Chemical and Biomedical Engineering, Nanyang Technological University, 50 Nanyang Avenue, Block S4 Unit B3-a15, 639798 Singapore

Iliya V. Karlin†
Aerothermochemistry and Combustion Systems Laboratory, Swiss Federal Institute of Technology (ETH), CH-8092 Zurich, Switzerland

Received 13 July 2005; published 29 December 2005

Lack of energy conservation in lattice Boltzmann models leads to unrealistically high values of the bulk viscosity. For this reason, the lattice Boltzmann method remains a computational tool rather than a model of a fluid. A novel lattice Boltzmann model with energy conservation is derived from Boltzmann’s kinetic theory. Simulations demonstrate that the new lattice Boltzmann model is the valid approximation of the Boltzmann equation for weakly compressible flows and microflows.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.260605
DOI:
10.1103/PhysRevLett.95.260605
PACS:
05.20.Dd, 83.85.Pt

*Electronic address: asantosh@ntu.edu.sg

†Corresponding author.

Electronic address: karlin@lav.mavt.ethz.ch

 
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